Question

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a. 2x2 + 32x + 12 = 0

Answer 1

First divide the whole equation by 2 to get the coefficient of x^2 to 1...

Answer 2

First, move the untied number to the other side. (12)
2x2+32x=-12
Now divide by the term on x. (2)
x2+16x=-6
Take half of the coefficient of the x term (16x) and square it.
8 ===> 64
Add this to both sides
x2+16x+64=-6+64
Then...

Answer 3

Take the left side and * factor * it. It's a perfect square trinomial. So you get (x+8)^2
And simplify the other side. You get 58.
Our equation looks like (x+8)^2=58
:] I believe that's it.

(srry I did the whole problem, I just wanted to clear up my memory on this)

Answer 4

its fine thank you